WEBVTT
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Here you have to determine
which of these numbers

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is the smallest, and then
the next smallest, and so on.

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This is difficult,
because the numbers

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are expressed in a
variety of different ways.

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There are fractions,
decimals, and a number

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in scientific standard form.

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In order to work
this out, it is best

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to choose a way of representing
all the numbers which

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allows you to compare.

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The best way here is
to express the numbers

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as a decimal number.

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You can use a
calculator to help you.

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Each of the answers are
to four decimal places,

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which should be enough
to allow us to determine

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the order in which
the numbers fall.

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3/9 is 0.3333.

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0.3321 is already a decimal
number, and so is 0.3321.

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4/7 is 0.5714.

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7/16 is 0.4375.

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The next number is in
scientific standard form.

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And 4.181 multiplied by
10 to the power minus 1

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is the same as 0.4181.

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And finally, 6/13 is 0.4615.

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Because all these numbers are
now expressed in a similar way,

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it is relatively
straightforward to determine

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the order in which they fall.

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And so 0.3321 is
sixth, 3/9 is fifth,

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4.181 times 10 to the minus
1 is fourth, 7/16 is third,

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6/13 is second, and 4/7
is the largest number.

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You can see the advantage
of expressing the numbers

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all in a similar way, as it
allows you to easily determine

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their size.